Home
Class 12
MATHS
Find the equation of the plane passing t...

Find the equation of the plane passing through the intersection of the planes `3x – y + 2z - 4 = 0` and `x + y + z-2 = 0` and the point (2, 2, 1). 

Text Solution

Verified by Experts

The correct Answer is:
`7x-5y +4z -8=0`
Promotional Banner

Topper's Solved these Questions

  • VERY SIMILAR TEST 1

    ARIHANT PRAKASHAN|Exercise Section C |10 Videos
  • VERY SIMILAR TEST 1

    ARIHANT PRAKASHAN|Exercise Section C |10 Videos
  • VECTORS

    ARIHANT PRAKASHAN|Exercise CHAPTER TEST (6 MARK QUESTIONS)|9 Videos
  • VERY SIMILAR TEST 10

    ARIHANT PRAKASHAN|Exercise SECTION C (30 MARKS)|25 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the plane passing through the intersection of the plane x + 2y + 3z - 4 = 0 and 5x + 3y + 6z + 8 = 0.

Find the equation of the plane passing through the intersection of the planes 2x + y + 3z-7=0 and 2x + 5y + 3z - 9 = 0 and the point (2,1,3).

Find the equation of the plane passing through the line of intersection of the planes. x + 3y + 6 = 0 , 3x - y - 4z = 0 and the point (1,1,1) .

Find the equation of the plane passing through the intersection of the planes 3x + y- z = 2 and x-y + 2z =1and the point (1, 0,2)

Find the equation of the plane Passing through the intersection of planes 2x+3y-4z+1=0.2x-y+z+2=0 and passing through the point (3,2,1).

Write the equation of the plane through origin and passing through the intersection of the planes 3x-2y+z-1=0 and x-2y+3z-1=0

Find the equation of the plane passing through the line x = y = z and the point (3,2,1).

find the equation to the plane passing through the line x=y=z and the point (-1,3,4).

Find the equation of the plane .Passing through the point (2,3-1) and parallel to the plane 3x-4y+7z=0.

ARIHANT PRAKASHAN-VERY SIMILAR TEST 1 -Section B
  1. In bag A, there are 5 white and 8 red balls, in bag B, 7 white and 6 ...

    Text Solution

    |

  2. Prove the following : [[x+4,2x,2x],[2x,x+4,2x],[2x,2x,x+4]]-(5x+4)(4-x...

    Text Solution

    |

  3. If A=[(2,0,1),(2,1,3),(1,-1,0)], then find A^(2)-5A+4I and hence find ...

    Text Solution

    |

  4. If A= [{:(1,-1),(2,-1):}],B=[{:(a,1),(b,-1):}]and(A+B)^(2)=A^(2)+B^(2)...

    Text Solution

    |

  5. A box contains 4 orange and 4 green balls, another box contains 3 oran...

    Text Solution

    |

  6. If y=sin^(-1)(2x sqrt(1-x^(2))), then find (dy)/(dx) and determine its...

    Text Solution

    |

  7. If y=(x+(1)/(x+(1)/(x+ . . .oo))) find (dy)/(dx), the rhs being a vali...

    Text Solution

    |

  8. Find a point on the curve y=(x-2)^(2) at which the tangent is parall...

    Text Solution

    |

  9. Find the intervals in which the following functions is increasing or d...

    Text Solution

    |

  10. Examine the applicability of mean value theorem for the function f(...

    Text Solution

    |

  11. Evaluate the integral int(0)^(2pi)(1)/(1+e^(sinx))dx.

    Text Solution

    |

  12. Evaluate int log (1+x^2)dx

    Text Solution

    |

  13. Find the area of the region enclosed by the curve y=x e^(x^(2), the ...

    Text Solution

    |

  14. Solve (dy)/(dx)+2y =6e^(x).

    Text Solution

    |

  15. Find the differential equation of the family of curves given by x^(2...

    Text Solution

    |

  16. Prove by vector method that the diagonals of a parallelogram bisect ea...

    Text Solution

    |

  17. The scalar product of the vector veca=hati +hatj +hatk with a unit ve...

    Text Solution

    |

  18. Find the acute angle between the lines passing through (-3, -1, 0), (2...

    Text Solution

    |

  19. Find the equation of the plane passing through the intersection of the...

    Text Solution

    |

  20. Find the coordinates of the point, where the line (x+1)/(2) = (y+2)/(3...

    Text Solution

    |